1342151414240 has 192 divisors, whose sum is σ = 3904077066624. Its totient is φ = 424604049408.

The previous prime is 1342151414209. The next prime is 1342151414257. The reversal of 1342151414240 is 424141512431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1342151414197 and 1342151414206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40707842 + ... + 40740798.

It is an arithmetic number, because the mean of its divisors is an integer number (20333734722).

Almost surely, 2^{1342151414240} is an apocalyptic number.

1342151414240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342151414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952038533312).

1342151414240 is an abundant number, since it is smaller than the sum of its proper divisors (2561925652384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1342151414240 is a wasteful number, since it uses less digits than its factorization.

1342151414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35789 (or 35781 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 1342151414240 its reverse (424141512431), we get a palindrome (1766292926671).

The spelling of 1342151414240 in words is "one trillion, three hundred forty-two billion, one hundred fifty-one million, four hundred fourteen thousand, two hundred forty".